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Ahmed, E., EI-Sayed, A.M.A. and EI-Saka, H.A.A. (2006) On Some Routh-Hurwitz conditions for Fractional Order Differential Equations and Their Applications in Lorenz, Rossler, Chua and Chen Systems. Physics Letters A, No. 358, 1-4. https://doi.org/10.1016/j.physleta.2006.04.087

has been cited by the following article:

• TITLE: A Fractional Order Model for the Transmission Dynamics of Measles with Vaccination

  AUTHORS: Nnaemeka S. Aguegboh, Nkem R. Nwokoye, Netochukwu E. Onyiaji, Ogechi R. Amanso, Dominic O. Oranugo

  KEYWORDS: Measles, Vaccination, Fractional-Order Differential Equations, Equilibrium Points, Stability, Numerical Simulations, Predictor-Corrector Method

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.10, October 15, 2020

  ABSTRACT: In this paper, the fractional order model was adopted to describe the dynamics of measles and to establish how the virus that causes measles is transmitted as well as how to mitigate the conditions that cause the spread. We showed the existence of the equilibrium states. The threshold parameter of the model was evaluated in terms of parameters in the model using the next generation matrix approach. We provided the conditions for the stability of the disease free and the endemic equilibrium points. Also, the stability of the various equilibrium points was studied. Numerical simulations of the model are presented graphically using Adam-Bashforth Method and the results were interpreted. The result also shows that the use of vaccination is the best way to prevent measles outbreak.